Application of oblique projection Krylov subspace method for large scale model reduction

Abstract

Significant developments have taken place in the area of large-scale matrix computations. Much of these advancements are the result of contributions from Krylov subspace techniques. The popularity of this class of iterative methods in solving large sets of linear and non-linear equations as well as large eigenvalue problems stems from their relative simplicity and generality. Recognizing this property, the paper exploits and introduces the, new mathematical approach, Krylov subspace techniques and their use in the model reduction problem for large-scale systems. Hence the robust control design problem can be solved for the large-scale systems.